Radial active magnetic bearing apparatus and a method for operating the same

ABSTRACT

A radial, active magnetic bearing apparatus ( 6 ) comprising at least three electromagnets ( 2   u   , 2   v   , 2   w ) which are distributedly arranged is excited by a three-phase rotary current controller ( 10 ).

[0001] The invention relates to a radial, active magnetic bearing apparatus in accordance with the preamble of claim 1 and to a method for operating the same in accordance with the preamble of claim 9.

[0002] A radial, active magnetic bearing for the contact-free journalling of a rotatable body is known from EP 0 612 928. A magnetic bearing of this kind comprises in each case three electromagnets respectively mutually displaced by 120° in the circumferential direction, with each of the three electromagnets being supplied with electrical energy by a separate amplifier. A disadvantage of this known magnetic bearing is to be seen in the fact that three separate power amplifiers are required, which are in addition specially matched and are therefore relatively expensive.

[0003] The object of the present invention is to provide an economically more advantageous, active magnetic bearing apparatus.

[0004] This object is satisfied in accordance with the features of claim 1. The subordinate claims 2 to 8 relate to further advantageous embodiments of the invention. The object is further satisfied by a method in accordance with the features of claim 9.

[0005] A radial, active magnetic bearing uses the so-called Maxwell force in order to maintain a rotating part in suspension without contact. This Maxwell force is the reason for the force of attraction of magnetically conducting bodies which are located in a magnetic field.

[0006] The object of proposing an economically more advantageous radial, active magnetic bearing based on the Maxwell force is satisfied in particular in that at least three electromagnets are distributedly arranged in the bearing; and in that a rotary current controller is provided for the excitation of the coils of the electromagnets.

[0007] An advantage of the invention is to be seen in the fact that a conventional, three-phase rotary current controller or a three-phase converter can be used as a rotary current controller. These rotary current controllers are a standard product for the excitation of electrical machines, for which reason a rotary current controller of this kind can be obtained a very favourable cost.

[0008] A further advantage is to be seen in the fact that a conventional three-phase rotary current controller usually has an integrated micro-controller which can be used for control tasks. To use the rotary current controller as an excitation device for an active magnetic bearing a correspondingly adapted control procedure is required which usually can be stored in the micro-controller of the rotary current controller in the form of program lines (software). Thus the signal processing, which is complicated and expensive per se, can largely be carried out by the micro-controller integrated into the rotary current controller, which saves on the costs for an additional signal processing apparatus.

[0009] The active magnetic bearing in accordance with the invention can be designed as an inner rotor, i.e. with a rotor disposed inwardly, or as an outer rotor, i.e. with a rotor surrounding the electromagnets outwardly. The active magnetic bearing requires a bias magnetisation, which can be produced by a permanent magnet or by a coil with a direct current component.

[0010] The invention will be explained in detail with reference to several exemplary embodiments. Shown are:

[0011]FIG. 1a a side view of a magnetic bearing with three electromagnets;

[0012]FIG. 1b an electrical circuit with a three-phase rotary current controller for the excitation of the magnetic bearing comprising three electromagnets;

[0013]FIG. 1c a side view of a magnetic bearing with six electromagnets;

[0014]FIG. 1d an electrical circuit with a three-phase rotary current controller for the excitation of the magnetic bearing comprising six electromagnets;

[0015]FIG. 2a a side view of a magnetic bearing with four electromagnets;

[0016]FIG. 2b an electrical circuit with a three-phase rotary current controller for the excitation of the bearing comprising four electromagnets;

[0017]FIG. 3 a control apparatus for the excitation of the magnetic bearing which is arranged in the rotary current controller;

[0018]FIG. 4 a further exemplary embodiment of a magnetic bearing with four coils;

[0019]FIG. 5 a further exemplary embodiment of a magnetic bearing with four coils;

[0020]FIG. 6 a magnetic bearing with three coils designed as a rotary current winding;

[0021]FIG. 6a a cross-section through a bearing in accordance with FIG. 6;

[0022]FIG. 7a a further exemplary embodiment of a magnetic bearing;

[0023]FIG. 7b an electrical circuit for the excitation of the magnetic bearing in accordance with FIG. 7a;

[0024]FIGS. 8a, 8 b Exemplary embodiments of a bearing apparatus which can be excited additionally in the axial direction;

[0025]FIG. 8c an electrical circuit for the excitation of the magnetic bearing in accordance with FIG. 8a.

[0026]FIG. 1a shows a side view of an exemplary embodiment of a radial, active magnetic bearing. The rotor 1, which is designed as a shaft, is held in suspension without contact by three electromagnets 2 u, 2 v, 2 w which are designed to be discrete and unshaped and are respectively mutually displaced by 120° in the peripheral direction in each case. Each electromagnet 2 u, 2 v, 2 w has a coil Lu, Lv, Lw for the production of a magnetic flux φ1, φ2, φ3 which is variable in time. Each coil Lu, Lv, Lw is connected to a non-illustrated rotary current source 10 via electrical conduction lines 3 u, 3 v, 3 w. The magnetic bearing requires a bias magnetisation, which in the present exemplary embodiment is produced by three coils 4 u, 4 v, 4 w through which a direct current flows. At each coil core 2 u, 2 v, 2 w there is provided a coil 4 u, 4 v, 4 w which is wound in the same direction. The coils 4 u, 4 v, 4 w are connected to one another in a series circuit via an electrical conductor 5 and are thus flowed through by a common direct current io. Further illustrated are the horizontal X-direction and the vertical Y-direction of the bearing as well as the forces Fx and Fy acting on the shaft 1. The individual electromagnets 2 u, 2 v, 2 w are respectively mutually displaced by 120° in each case with a direction of extent u, v, w in the peripheral direction of the shaft 1.

[0027]FIG. 1b shows the electrical connection of a three-phase rotary current controller 10 to the coils Lu, Lv, Lw of the radial, active magnetic bearing of FIG. 1a. The rotary current controller 10 is operated with an intermediate circuit voltage Uz and has a condenser Cz. The rotary current controller 10 comprises a power part 10 a and a non-illustrated signal transmission device 10 b which comprises a micro-controller. The three coils Lu, Lv, Lw are connected to one another in a star circuit, with the three phase currents iu, iv, iw being supplied to the coils Lu, Lv, Lw via the electrical conductors 3 u, 3 v, 3 w of the power part 10 a of the rotary current controller 10. The three coils Lu, Lv, Lw could also be connected to the rotary current controller 10 in a triangular or delta circuit. The power part has three bridge branches each of which is connected to an electrical conductor 3 u, 3 v, 3 w. In the illustrated embodiment the three coils 4 u, 4 v, 4 w which produce a bias magnetisation are connected via the electrical conductor 5 in a series circuit to the intermediate circuit voltage Uz so that all coils 4 u, 4 v, 4 w are flowed through by a common current io.

[0028] The relationship between the forces Fx and Fy acting on the rotor 1 and the currents iu, iv, iw present at the coils Lu, Lv, Lw is as follows:

[0029] In the following equations k represents a proportionality constant.

[0030] For the force Fx one has:

F _(x)=2(i _(u) +i _(o))k cos(30°)−(i _(v) +i _(o))k cos(30°)−(i _(w) + i _(o))k cos(30°)

[0031] and, on collecting terms:

F _(x) =k{square root}{square root over (3)} (i _(u)−½i _(v)−½i _(w))  (I)

[0032] For the force F_(y) one has:

F _(y)=(i _(v) +i _(o))k+(i _(v) +i _(o))k sin(30°)+(iu+io)k sin(30°)− (ic+io)k−(ic+io)k sin(30°)−(ia+io)k sin(30°)

[0033] and, on collecting terms:

F _(y) =k{square root}{square root over (3)} ({square root}{square root over (3/2)} i _(v)−{square root}{square root over (3/2)} i _(w))  (II)

[0034] For a three-phase rotary current controller 10 the auxiliary condition always holds that the sum of all currents is equal to zero. Therefore the additional relationship holds:

i _(u) +i _(v) +i _(w)=0  (III)

[0035] Thus in the use of a three-phase rotary current controller (equation III) for the excitation of an active, magnetic bearing the following relationship results between the currents iu, iv, iw of the individual coils Lu, Lv, Lw and the force Fx, Fy acting on the shaft 1: $\begin{matrix} {\begin{bmatrix} i_{u} \\ i_{v} \\ i_{w} \end{bmatrix} = {\frac{2}{3\sqrt{3}k} \cdot \begin{bmatrix} 1 & 0 \\ {- \frac{1}{2}} & {\sqrt{3}/2} \\ {- \frac{1}{2}} & {{- \sqrt{3}}/2} \end{bmatrix} \cdot \begin{bmatrix} {Fx} \\ {Fy} \end{bmatrix}}} & ({IV}) \end{matrix}$

[0036] It can be seen from equation IV that in the use of a conventional, three-phase rotary current controller the forces Fx and Fy acting on the shaft 1 can be controlled. The two components of the force Fx, Fy are orthogonal to one another so that a force acting on the shaft 1 in any desired radial direction can be produced using these two components. Thus a total flux is produced in the magnetic bearing by the superposition of a rotary field flux on a direct current flux which enables a force acting in any desired radial direction to be produced. In this equation the condition that the sum of the currents iu, iv, iw is zero is satisfied, so that a three-phase rotary current controller can be used.

[0037] The bias magnetisation current io cancels out of the equations I to IV and need therefore no longer be taken into consideration in the regulation of the currents iu, iv, iw. The bias magnetisation current io is advantageously chosen such that this current io produces about one half of the saturation flux density of the coil cores 2 u, 2 v, 2 w.

[0038]FIG. 3 shows a three-phase rotary current controller 10 which comprises a three-phase power part 10 a and further an electronic component 10 b forming a control circuit. The rotary current controller 10 comprises in particular a programmable microprocessor which enables the respective required regulation to be programmed by a corresponding software.

[0039] The exemplary embodiment of a rotary current controller 10 illustrated in FIG. 3 has a regulator structure for the excitation of the active magnetic bearing 6 illustrated in the FIGS. 1a and 1 b. The bias magnetisation current io is of subordinate importance and hence not illustrated. The three coils Lu, Lv, Lw of the magnetic bearing 6 are supplied with the currents iu, iv, iw by the power part 10 a. Two position sensors 15 a, 15 b arranged on the magnetic bearing 6 measure the respective position of the rotor 1 in the X and Y direction and produce a corresponding position signal Xist, Yist, which is fed to a comparator device. This comparator device determines the deviation between a predetermined desired value Xsoll, Ysoll and the measured actual value Xist, Yist and feeds the difference signal to a position regulator 14 a, 14 b which is designed as a PID regulator. The two position regulators 14 a, 14 b calculate the force components Fsollx, Fsolly which are required in the X and Y direction and are to be exerted on the rotor 1 in order to bring the actual value Xist, Yist into agreement with the predetermined desired value Xsoll, Ysoll. The force components Fsollx, Fsolly are fed to a 2/3-phase transformation apparatus 13 which calculates the required desired current values isollu, isollv using equation IV. Only two desired current values are to be preset for the power part 10 a since the third current value is already determined by the condition that the sum of all currents is equal to zero. Current sensors 16 a, 16 b monitor the actual current values iistu, iistv, which are compared with the desired values isollu, isollv, and the difference values are fed to the current regulators 12 a, 12 b which are designed as PI regulators and thereupon produce the currents iu, iv via current controllers. Thus an active, magnetic bearing can be operated in a simple and economical manner with a three-phase rotary current controller 10.

[0040]FIG. 1c shows a side view of an exemplary embodiment of a radial, active magnetic bearing which, otherwise similar to the embodiment of FIG. 1a, has six electromagnets mutually respectively displaced in the peripheral direction by 60° each. As can be seen from the electrical circuit of FIG. 1d the coils Lu, Lv, Lw are connected in series and flowed through by the same current iu. The same holds for the coils Lw1, Lw2 and the coils Lv1, Lv2, which are connected in series and are each flowed through by a common current iv or iw. The coils 4v1, 4w2, 4u1, 4v2, 4w1 and 4u2 are connected in series via a common electrical conductor 5 to the intermediate circuit voltage Uz for the bias magnetisation, and are thus flowed through by a common current io. In the individual electromagnets, which are discrete and designed in u-shape, a corresponding, temporally variable magnetic flux φ1, φ2, φ3, φ4, φ5, φ6 is produced.

[0041]FIG. 2a shows a side view of a further exemplary embodiment of a magnetic bearing 6 with four unshaped and discretely designed electromagnets 2 a, 2 b, 2 c, 2 d arranged to be mutually displaced in the peripheral direction by 90°. Each electromagnet has a coil L1, L2, L3, L4 with electric conductors 3 a, 3 b, 3 c, 3 d which, as illustrated in FIG. 2b, are connected to the three-phase rotary current controller 10. In this situation the two coils L1 and L3 are connected in series and are flowed through by the common current ix. The two coils L2 and L4 are likewise connected in series and are flowed through by the common current iy. The third branch of the rotary current controller 10 is flowed through by the sum of the currents ix+iy. This arrangement enables the excitation of four electromagnets by a three-phase rotary current controller 10, with it being necessary to take care that the sum of the currents ix+iy does not exceed the maximum permissible current of the rotary current controller 10. The arrangement of FIGS. 2a, 2 b can likewise be operated with the control apparatus 10 b integrated in the rotary current controller 10, with the 2/3-phase transformation 13 being designed to be adapted corresponding to the four electromagnets present in order to calculate the desired values for the currents ix and iy. In the exemplary embodiment of FIG. 2b the feeding of the coils 4 a, 4 b, 4 c, 4 d for the production of a bias magnetisation is not carried out via the intermediate circuit voltage Uz of the rotary current controller 10 but rather via an additional non-illustrated excitation apparatus.

[0042]FIG. 4 shows a further exemplary embodiment of a magnetic bearing with two active magnetic bearings 6 a, 6 b which are arranged to be axially spaced and which are both excited by a three-phase rotary current controller 10 in each case. Contrary to the previously illustrated embodiments the bearing 6 a does not have individually arranged electromagnets. The bearing 6 a has a through-going, ring-shaped body 24 with four coil cores extending in the radial direction on which the coils L1, L2, L3, L4 are arranged. Thus, for example, the magnetic flux φ1 produced by the coil L1 flows via the ring-shaped stator 24 and through the coil L3, and via the air gap 20 and the rotor 1 back to the coil L1. The two bearings 6 a, 6 b are coupled to one another via the metallic housing 21 while forming a unipolar bearing. A permanent magnet 40 is arranged in the housing 21 which surrounds the rotor 1 in the peripheral direction and produces a constant direct current flux φo or a unipolar flux which passes via the bearing 6 b, the rotor 1, the bearing 6 a and the housing 21. The housing 21 has a projecting part 23 for holding the position sensors 15 a, 15 b. The coils L1, L2, L3, L4 of each bearing 6 a, 6 b can be connected to a three-phase rotary current controller 10 as in the arrangement illustrated in FIG. 2b. The two required rotary current controllers 10 are actuated by a higher level actuation apparatus in order to operate the entire unipolar bearing illustrated in FIG. 4.

[0043]FIG. 5 shows a unipolar bearing which is designed very similarly to the exemplary embodiment of FIG. 4 and comprises two radial, active magnetic bearings 6 a, 6 b. Two electromagnets 4 which are operated with a direct current io are arranged in the place of the permanent magnet 40 and are coupled via magnetically conducting webs 21 to the body 24 which extends in the shape of a ring so that a constant direct current flux φo or unipolar flux again arises.

[0044]FIG. 6 shows a further unipolar bearing with two radial, active magnetic bearings 6 a, 6 b arranged with a spacing in the axial direction with respect to the shaft 1. Both bearings 6 a, 6 b are designed as rotary field machine stators 26 and have three-phase windings Lu, Lv, Lw correspondingly distributed around the periphery. The constant direct current flux φo is produced via a direct current coil 4 surrounding the shaft 1 in the peripheral direction which is coupled via flux conduction rings 25 to the rotary field machine stators 26. The three-phase windings Lu, Lv, Lw produce a magnetic flux φ in the bearings 6 a, 6 b. The position of the rotor 1 is measured by sensors 15 a, 15 b. The three coils Lu, Lv, Lw of each bearing 6 a, 6 b are connected to one three-phase rotary current controller 10 each in the same manner as in illustrated in FIG. 1b. A higher level actuation apparatus regulates both rotary current controllers 10 as well as the direct current io flowing in the coil 4.

[0045]FIG. 6a shows a simplified cross-section through the rotary field machine stator 26 of FIG. 6. The rotary field machine stator 26 has three coils Lu, Lv, Lw which extend in the axial direction and which are arranged to be displaced in the peripheral direction of the rotary field machine stator 26. These coils Lu, Lv, Lw are only symbolically illustrated and usually have a plurality of individual electrical conductors which are additionally arranged in the peripheral direction of the rotary field machine stator 26. The coils Lu, Lv, Lw are arranged in the rotary field machine stator 26 in such a manner, and are excited by the three-phase rotary current controller 10 in such a manner that a bipolar magnetic field 101 is produced which extends in the radial direction in the rotary field machine stator 26 and which is rotatable in the direction ω about the midpoint 100 of the rotor 1. The coils Lu, Lv, Lw can be excited in such a manner that either a rotating magnetic field 101 is produced or, at an excitation frequency of zero, a stationary magnetic field 101 is produced, with the magnitude and the direction of the stationary field 101 being freely predeterminable by the excitation of the coils Lu, Lv, Lw. Thus, with the help of a rotary current controller 10, a magnetic field 101 which extends in a predeterminable direction and has a predeterminable magnitude can be produced in the rotary field machine stator 26 or also in one of the other magnetic bearings 6 illustrated in the present document.

[0046]FIG. 7a shows a further exemplary embodiment of a radial, active magnetic bearing apparatus 6. The rotor 1 is held in suspension without contact by six discretely designed electromagnets with coils Lu1, Lu 2, Lv1, Lv2, Lw1, Lw2 which are mutually respectively displaced by 60° in the peripheral direction. Each tooth-shaped electromagnet has in addition a coil 4u1, 4u2, 4v1, 4v2, 4w1, 4w2, which coils are connected in series via an electrical conductor 5 and, excited by a d.c. voltage source Uo, are flowed through by a direct current io. This direct current io produces a bias magnetisation in the bearing 6. FIG. 7b shows the electrical connection of the coils Lu1, Lu 2, Lv1, Lv2, Lw1, Lw 2 to the power part 10 a of the rotary current controller 10. Coils Lu1, Lu2; Lv1, Lv2; Lw1, Lw2 which are oppositely disposed in the radial direction are connected in series, with these series connections being connected to one another in a star circuit at the star point P. These series connections can also be connected to one another in a triangular or delta circuit.

[0047] The unipolar bearings illustrated in the FIGS. 4 to 6 can also be operated with a single rotary current controller 10 only. This exemplary embodiment will be described in detail with the help of the bearing in accordance with FIG. 4. The coil L3 of the bearing 6 a and the coil L3 of the bearing 6 b are each arranged to be wound in contrary senses on the ring-shaped bodies 24. These two coils L3 are connected in series and are thus flowed through by the same current. The further coils L1, L2 and L4 are arranged in a manner similar to the coil L3 in that the coils L1, L2, L4 which are arranged in the bearing 6 a are wound in senses opposite to the coils L1, L2, L4 arranged in the bearing 6 b. The two coils L1 and the two coils L2 and the two coils L4 are in each case connected in series. This arrangement can be connected to the rotary current controller 10 in a manner illustrated in FIG. 2b, with the coils L1, L2, L3, L4 which are illustrated in FIG. 2b corresponding in each case to the series connection of two coils L1, L2, L3, L4 in accordance with FIG. 4. Thus a unipolar bearing such as is illustrated in the FIGS. 4, 5 and 6 can be operated with a single rotary current controller 10. The shaft 1 which is arranged between the two bearings 6 a, 6 b can also be designed to be very short so that the two bearings 6 a, 6 b are arranged adjacently with only a very slight spacing.

[0048]FIGS. 8a, 8 b show an active magnetic bearing 20 which can form a constituent of the radial, active magnetic bearing apparatus. The shaft 1 which is held by the radial magnetic bearing 6 enters at its end into the axial bearing 20. The shaft 1 has a disc-shaped part la which is arranged to lie between two electromagnets 19 a, 19 b. The electromagnets 19 a, 19 b are designed in the form of a circle and are arranged with a radial spacing with respect to the shaft 1. Corresponding to the current flowing in the coils L1, L2, L3 a magnetic force is produced which acts on the disc-shaped part 1 a and extends in the axial direction. Thus the position of the shaft 1 in the axial direction can be controlled by the axial bearing 20. In the exemplary embodiment of FIG. 8b each electromagnet 19 a, 19 b has a coil L1, L2, which coils are wound in the peripheral direction of the shaft 1. The coils L1, L2 are, as illustrated in FIG. 8c, excited by a three-phase rotary current controller 10, 10 a, with a current io+iz flowing to the coil L1 via the lead 3 a, whereas a current io−iz flows to the coil L2 via the lead 3 b. The current iz is modulated by the rotary current controller 10, 10 a and can take on positive or negative values so that the shaft 1 can be displaced to both sides in the axial direction by the forces produced by the axial bearing 90. In the exemplary embodiment of FIG. 8a the electromagnet 19 a has two coils L1, L5 which are wound to extend in the peripheral direction of the shaft 1. The coil L5 is flowed through by a constant current io via the lead 5 whereas the coil L1 is flowed through by a variable current ix via the lead 3 a. The electromagnet 19 b likewise has two coils L3, L6, with the coil L6 being connected in series with the coil L5 and thus likewise being flowed through by the constant current io. The coil L3 is connected in series with the coil L1 and is thus likewise flowed through by the variable current ix. An advantage of the arrangement in accordance with FIG. 8 is to be seen in the fact that two axial bearings can be operated independently of one another with a single rotary current controller 10 through the arrangement of the coils L1, L3, L5, L6. If the axial bearing 20 is excited by an electric circuit in accordance with FIG. 2b, then the coils L1, L3 are flowed through in series by the current ix as illustrated in FIG. 2b. The current ix can be predetermined by the rotary current controller 10 so that the axial bearing 20 can be excited. In the second current path iy of the rotary current controller 10, with incoming lead 3 d and outgoing lead 3 b, a second axial bearing 20 can be operated which is designed identically to the embodiment in accordance with FIG. 8a. The current iy can be predetermined by the rotary current controller 10. The currents ix and iy can be predetermined independently of one another so that two axial bearings 20 can be excited independently of one another with a single rotary current controller 10. These two axial bearings 20 can be arranged at two different shafts 1. In this way the axial position of two shafts 1 can be controlled independently of one another with a single rotary current controller 10. 

1. Radial, active magnetic bearing apparatus comprising at least three electromagnets (2 a, 2 b, 2 c, 2 d; 2 u, 2 v, 2 w) which are distributedly arranged, characterised in that a three-phase rotary current controller (10) is provided for the excitation of the coils (Lu, Lv, Lw; L1, L2, L3, L4) of the electromagnets ( 2 a, 2 b, 2 c, 2 d; 2 u, 2 v, 2 w).
 2. Magnetic bearing apparatus in accordance with claim 1 , characterised in that the electromagnets ( 2 a, 2 b, 2 c, 2 d; 2 u, 2 v, 2 w) are of discrete design.
 3. Magnetic bearing apparatus in accordance with claim 2 characterised in that three electromagnets (2 u, 2 v, 2 w) are respectively mutually displaced in the peripheral direction by 120°.
 4. Magnetic bearing apparatus in accordance with claim 2 characterised in that four electromagnets ( 2 a, 2 b, 2 c, 2 d) are respectively mutually displaced in the peripheral direction by 90°.
 5. Magnetic bearing apparatus in accordance with claim 2 characterised in that six electromagnets are respectively mutually displaced in the peripheral direction by 60°.
 6. Magnetic bearing apparatus in accordance with claim 1 , characterised in that the electromagnets (2 u, 2 v, 2 w) are designed as a rotary field machine stator with a three-phase winding (Lu, Lv, Lw).
 7. Magnetic bearing apparatus in accordance with one of the claims 1 to 6 characterised in that at least one additional coil (4, 4 a, 4 b, 4 c, 4 d, 4 u, 4 v, 4 w) or a permanent magnet (40) is arranged for the production of a bias magnetisation.
 8. Magnetic bearing apparatus in accordance with one of the claims 1 to 7 characterised in that the coils (Lu, Lv, Lw; L1, L2, L3, L4) of the electromagnets are connected to the rotary current controller (10) in a star or delta circuit.
 9. Method for the operation of a magnetic bearing apparatus in accordance with one of the claims 1 to 8 , characterised in that the position of the rotor (1) is predeterminable in an x-direction and in a y-direction by a desired value (Xsoll, Ysoll); in that the position of the rotor (1) is measured by a position sensor ( 15 a, 15 b) in the x-direction and in the y-direction; and in that the control deviations in the x-direction and in the y-direction are calculated and the desired current values (isollu, isollv) are calculated by a 2/3-phase transformation for a three-phase rotary current controller (10) and are provided to the latter so that the coils (Lu, Lv, Lw; L1, L2, L3, L4) of the electromagnets ( 2 a, 2 b, 2 c, 2 d; 2 u, 2 v, 2 w) are supplied with current in such a manner that the position of the rotor (1) corresponds to the predeterminable desired value (Xsoll, Ysoll).
 10. Apparatus, in particular a unipolar bearing, comprising magnetic bearings in accordance with one of the claims 1 to 8 or operated by a method in accordance with claim 9 . 